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Finding the Fourth Proportional to 367.16, 506.62 and 236.14

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Solution

The fourth proportional to 367.16, 506.62 and 236.14 is: 325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.16 : 506.62 = 236.14 : x
  2. Step 2: Convert to fraction form
    367.16/506.62 = 236.14/x
  3. Step 3: Cross multiply
    367.16x = 506.62 × 236.14
  4. Step 4: Simplify right side
    367.16x = 119,633.25
  5. Step 5: Solve for x
    x = 119,633.25/367.16
  6. Step 6: Final answer
    x = 325.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.